GOTO Shiro 後藤四郎

… Alternative Names

後藤四郎ゴトウシロウ

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Researcher Number	50060091
External Links
Affiliation (Current)	2025: 明治大学, 研究・知財戦略機構(生田), 研究推進員(客員研究員)
Affiliation (based on the past Project Information) *help	2021 – 2022: 明治大学, 研究・知財戦略機構(生田), 研究推進員(客員研究員) 2019 – 2020: 明治大学, 研究・知財戦略機構(生田), 研究推進員 2018: 明治大学, 研究・知財戦略機構, 研究推進員 2016 – 2017: 明治大学, 理工学部, 名誉教授 1992 – 2015: 明治大学, 理工学部, 教授 … More 1991: 明治大学, 理工学部, 教師 1990: 明治大学, 理工学部, 教授 1988 – 1989: College of Humanities and Sciences, Nihon university, 文理学部, 教授 1988: 日本大学, 文理学部, 助教授 1986: 日本大学, 文理学部, 助教授 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related / 代数学・幾何学 Except Principal Investigator Algebra / 解析学 / Algebra / Basic Section 11010:Algebra-related / 代数学・幾何学
Keywords	Principal Investigator Cohen-Macaulay環 / Rees代数 / Cohen-Macaulay ring / Gorenstein環 / 可換環論 / Gorenstein ring / Buchsbaum ring / Buchsbaum環 / Rees algebra / canonical module … More / 重複度 / 随伴次数環 / Almost Gorenstein ring / Ulrich module / associated graded ring / Arf環 / Commutative algebra / index of reducibility / 整閉イデアル / Cohen-Macaulay 環 / local cohomology / ヒルベルト類体 / S^1-manifold / 正準加群 / Buchsbaun環 / almost Gorenstein ring / 代数学 / Ulrich ideal / 特異点論 / Blow-up代数 / Hilbert函数 / 可換環 / 環のstrict closure / weakly Arf closure / 弱 Arf 環 / Arf 環に関するZariski予想 / Arf 環 / 数値半群環 / 弱Arf closure / strict closure / 弱Arf環 / Arf環に関するZariski予想 / commutative algebra / 数学 / 2-almost Gorenstein ring / Contracted ideal / Sally module / 2-AGL ring / Generalized Gorenstein環 / Almost Gorenstein環 / contracted ideal / integrally closed ideal / Multiplicity / Blow-up algebra / Singularities / Rees algebra of modules / Rees algebra of ideals / generalized Grassmannian algebra / Cohen-Macaulay型 / 局所コホモロジー加群 / 巴系イデアルのsocle / system of parameters / multiplicity / FLC ring / Bass数 / Noetheian algebra / 優良イデアル / 正則局所環 / 入射次元 / 射影次元 / homological dimension / a-invariant / FLC局所環 / Cohen-Macaulay局所環 / 局所コホモロジー / Buchsbaum局所環 / Noether局所環 / Rees 代数 / Gorenstein 環 / Buchsbaun 環 / form ring / 随半次数環 / Cohen-macaulay環 / Ａｌｍｏｓｔ　Ｇｏｒｅｎｓｔｅｉｎ環 / Canonical module / Hilbert係数 / Ulrichイデアル/加群 / almost Gorenstein環 / Hilbert函数とHilbert係数 / generalized Cohen-Macaulay環 / Cohen-Macaualy ring / 環論(含リー環) / Cohen-Macaula環 / Ress代数 / minimal multipliciy / 不変部分環 / analytic deviation / blow-up ring / monomial curves / 熱対流方程式 / Cohen-Macaulay性 / 特異点解消 / blow-up rings / アフィン流 / シンプレクチック多様体 / 解析的deviation / Buchs banm環 / Cohen‐Macaulay環 / 特異点 / 代数幾何学 … More Except Principal Investigator Gorenstein環 / Rees代数 / リーマン・ロッホの公式 / 佐武コンパクト化 / ヤコビ形式 / ジーゲル保型形式 / 代数幾何学 / 数値半群環 / 極小自由分解 / コーエン・マコーレー環 / ゴレンシュタイン環 / 概ゴレンシュタイン環 / 可換環論 / Algebraic Geometry / Cohen-Macaulay環 / Bass orders / discrepancy / 局所環 / 連続量子系 / KMS states / phase transition / operator algebras / quantum lattice systems / continuous quantum systems / quantum statistical mechanics / unbounded derivations / Time evolution / 非有界微分 / 小平・中野の消滅定理 / リーマン・ロッホの定理 / 保型関数論 / 有理特異点 / 概Gorenstein環 / 定義イデアル / 擬ゴレンシュタイン環 / stretched局所環 / 正準加群 / 擬フロベニウス数 / almost Gorenstein環 / 随伴次数環 / 正規ヒルベルト係数 / リース代数 / 行列式環 / 正準イデアル / サリー加群 / アーフ環 / Arf環 / 系列的Cohen-Macaulay環 / Almost Gorenstein環 / Derivation / C^-quantum physics / Continuous quantum systems / 【C^】-力学系 / 相転移 / 統計力学 / 【C^】-代数 / C^ー力学系 / 平衝状態 / 連絡量子系;C^quantum physics;Deri-ONS;-代数C^-代数 / Riemann-Roch / Hilbert-Kunz function / Cox ring / total coordinate ring / standard conjectures / numerical equivalence / Grothendieck group / Chow group / クルル環 / 素元分解環 / 因子類群 / リース環 / 全座標環 / グロタンデイェク群 / チャウ群 / グロタンディエク群 / 特異リーマン・ロッホ / デターミナント射 / リーマン・ロッホ / ヒルベルト・クンツ関数 / Cox環 / 全座標間 / スタンダード予想 / 数値的同値 / グロタンディェク郡 / チャウ郡 / Satake Compactification / Jacobi Form / Siegel Modular Form / Automorhic Function / Satake compactification / Riemann-Roch formula / Jacobi form / Siegel modular form / Zariski's problem / Frobenius algebras / Rees algebras / singularities / Cohen-Macaulay modules / local rings / 有限次元多元環の表現論 / 表現型 / 整環 / 有限次元多元環 / Zariskiの問題 / Ress代数 / Cohen-Macaulay加群 / Zarisikiの問題 / Frobenius代数 / 特異点 / Cohen-Maculay加群 / C^ -algebras / Powers-Sakai conjecture / 量子格子系 / 統計力学とC^_-代数 / 非有界微分作用素 / C^_-代数 / StoneーWeierstrass Problem / operator algebra / quantum lattice system / continuous quantum system / Phase transition / contiuous quantum systems / C^ーalgebras / C^-力学系 / 平衡状態 / 連績量子系 / Newton Boundary / Blow Analytic Trivialization / (一般化された)ミンコフスキ-空間 / Hurwitz Pairs / Generalized Hilbert Fifth Problem / 非有界作用素 / C^-代数における公理化 / ゲ-ジ理論 / ソリトン方程式 / the radii of starlikeness and convexity / blow analytic trivialization / 関数芽 / C^Tーendmorphism / C^代数 / ジーゲル保計形式 / multiplicr ideal / Hilbert-Kunz multiplicity / toric ring / 正則局所環 / Riemann-Rochの公式 / multiplier ideal / 重複度 / 整閉イデアル / 群作用 / 代数多様体 / 楕円型微分作用素の指数 / 正値直線束 / シンプレクティック多様体 / 弱解 / ブシネスク近似 / 熱対流方程式 Less

Weak Arf closures of rings versus their strict closuresPrincipal Investigator
- Principal Investigator
  
  後藤四郎
- Project Period (FY)
  2021 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Meiji University
Formation and development on the theory of almost Gorenstein rings
- Principal Investigator
  
  Matsuoka Naoyuki
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Meiji University
Study of almost Gorenstein ringsPrincipal Investigator
- Principal Investigator
  
  Goto Shiro
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Developement of the theory of non-Gorenstein rings and a study of j-multiplicity
- Principal Investigator
  
  Tran Thi Phuong
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Structure of almost Gorenstein rings and Ulrich modulesPrincipal Investigator
- Principal Investigator
  
  Goto Shiro
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Commutative algebra - towards a better understanding of non-Cohen-Macaulay ringsPrincipal Investigator
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Study of blow-up ringsPrincipal Investigator
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
A study of vector valued Jacobi forms by a method of algebraic geometry
- Principal Investigator
  
  TSUSHIMA Ryuji
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Study of graded rings associated to ideals and modulesPrincipal Investigator
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Numerical equivalence on Chow groups of local rings and its applications
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
A Study on Jacobi Forms by a Method of Algebraic Geometry
- Principal Investigator
  
  TSUSHIMA Ryuji
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  MEIJI UNIVERSITY
整閉イデアルの族の研究
- Principal Investigator
  
  WATANABE Keiichi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Study of Blowing-up ringsPrincipal Investigator
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Study of blow-up ringsPrincipal Investigator
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  MEIJI UNIVERSITY
A study of Siegel modular forms of half integral weight by a method of algebraic geometry
- Principal Investigator
  
  INATOMI Akira, 対馬龍司
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Study of Rees algebras and form ringsPrincipal Investigator
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
特異点の環構造Principal Investigator
- Principal Investigator
  
  後藤四郎
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Blowing-upを手法とする特異点改良の理論的方法の研究Principal Investigator
- Principal Investigator
  
  後藤四郎
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Study on algebras and their representations
- Principal Investigator
  
  AKIBA Tomoharu, YOSHINO Yuji
- Project Period (FY)
  1994 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
代数多様体上の特異点の解消とblow-up ringsの環論的研究Principal Investigator
- Principal Investigator
  
  後藤四郎
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
特異点解消の環論的研究Principal Investigator
- Principal Investigator
  
  後藤四郎
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Meiji University
シンプレクティック多様体の幾何学
- Principal Investigator
  
  服部晶夫
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Meiji University
熱対流方程式の研究
- Principal Investigator
  
  森本浩子
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Meiji University
The theory of unbounded derivations in C^* -algebras and its applications to statistical mechanics
- Principal Investigator
  
  SAKAI Shoichiro
- Project Period (FY)
  1989 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nihon University
正作用素の研究
- Principal Investigator
  
  NIIRO Funio
- Project Period (FY)
  1988 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nihon University
The theory of unbounded derivations in C^*-algebras and its applications to Statistical mechanics.
- Principal Investigator
  
  SAKAI Shoichiro
- Project Period (FY)
  1986 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nihon University

[Book] 可換環論の勘どころ2017
- Author(s)
  後藤四郎
- Total Pages
  228
- Publisher
  共立出版
- ISBN
  9784320110731
- Data Source
  KAKENHI-PROJECT-16K05112
[Book] 可換環論2011
- Author(s)
  後藤四郎, 渡辺敬一
- Total Pages
  329
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-22540054
[Book] 日本評論社2011
- Author(s)
  後藤四郎,渡辺敬一
- Publisher
  可換環論
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] When are the rings I:I Gorenstein?2023
- Author(s)
  Naoki Endo, Shiro Goto, Shin-ichiro Iai, and Naoyuki Matsuoka
- Journal Title
  
  Communications in Algebra
  
  Volume: 51 Issue: 4 Pages: 1721-1734
- DOI
  10.1080/00927872.2022.2141764
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14299, KAKENHI-PROJECT-18K03227
[Journal Article] On the ubiquity of Arf rings2022
- Author(s)
  E. Celikbas, O. Celikbas, C. Ciuperca, N. Endo, S. Goto, R. Isobe, N. Matsuoka
- Journal Title
  
  Journal of Commutative Algebra
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03227
[Journal Article] On the ubiquity of Arf rings2022
- Author(s)
  E. Celikbas, O. Celikbas, C. Ciupercă, N. Endo, S. Goto, R. Isobe, N. Matsuoka
- Journal Title
  
  Journal of Commutative Algebra
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03211
[Journal Article] On the weakly Arf (S_2)-ifications of Noetherian rings2022
- Author(s)
  N. Endo, S. Goto, S.-i. Iai, N. Matsuoka
- Journal Title
  
  arXiv:2204.12132
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-18K03227
[Journal Article] On the weakly Arf (S_2)-ifications of Noetherian rings2022
- Author(s)
  N. Endo, S. Goto, S.-i. Iai, N. Matsuoka
- Journal Title
  
  arxiv.org/abs/2204.12132
  
  Volume: -
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03211
[Journal Article] On the ubiquity of Arf rings2022
- Author(s)
  E. Celikbas, O. Celikbas, C. Ciuperc\u{a}, N. Endo, S. Goto, R. Isobe, N. Matsuoka
- Journal Title
  
  J. Comm. Alg.
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03211
[Journal Article] Almost Gorenstein rings arising from fiber products2021
- Author(s)
  Endo Naoki、Goto Shiro、Isobe Ryotaro
- Journal Title
  
  Canadian Mathematical Bulletin
  
  Volume: 64 Issue: 2 Pages: 383-400
- DOI
  10.4153/s000843952000051x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20J10517, KAKENHI-PROJECT-21K03211, KAKENHI-PROJECT-20K14299
[Journal Article] A criterion for reflexivity of modules2021
- Author(s)
  N. Endo, S. Goto
- Journal Title
  
  arxiv.org/abs/2112.02258
  
  Volume: -
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03211
[Journal Article] When are the rings I:I Gorenstein?2021
- Author(s)
  N. Endo, S. Goto, S.-i. Iai, N. Matsuoka
- Journal Title
  
  arXiv:2111.13338
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-18K03227
[Journal Article] Ulrich ideals in numerical semigroup rings of small multiplicity2021
- Author(s)
  N. Endo, S. Goto
- Journal Title
  
  arxiv.org/abs/2111.00498
  
  Volume: -
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03211
[Journal Article] Ulrich ideals in the ring k[[t^5, t^{11}]]2021
- Author(s)
  N. Endo, S. Goto, S.-i. Iai, N. Matsuoka
- Journal Title
  
  arXiv:2111.01085
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-18K03227
[Journal Article] When are the rings $I:I$ Gorenstein?2021
- Author(s)
  N. Endo, S. Goto, S.-i. Iai, N. Matsuoka
- Journal Title
  
  arXiv:2111.13338
  
  Volume: -
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03211
[Journal Article] Topics on strict closure of rings2021
- Author(s)
  Endo Naoki、Goto Shiro、Isobe Ryotaro
- Journal Title
  
  Research in the Mathematical Sciences
  
  Volume: 8 Issue: 4
- DOI
  10.1007/s40687-021-00292-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20J10517, KAKENHI-PROJECT-21K03211, KAKENHI-PROJECT-21K13767, KAKENHI-PROJECT-20K14299
[Journal Article] Almost Gorenstein rings arising from fiber products2021
- Author(s)
  Naoki Endo, Shiro Goto, Ryotaro Isobe
- Journal Title
  
  Canadian Math. Bull.
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] Construction of strictly closed rings2021
- Author(s)
  E. Naoki, S. Goto
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 150 Issue: 01 Pages: 119-129
- DOI
  10.1090/proc/15659
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03211, KAKENHI-PROJECT-20K14299
[Journal Article] Construction of strictly closed rings2021
- Author(s)
  Shiro Goto, Naoki Endo
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] Ulrich ideals in the ring $k[[t^5, t^{11}]]$2021
- Author(s)
  N. Endo, S. Goto, S.-i. Iai, N. Matsuoka
- Journal Title
  
  arxiv.org/abs/2111.01085
  
  Volume: -
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03211
[Journal Article] Ulrich ideals and 2-AGL rings2020
- Author(s)
  Shiro Goto, Ryotaro Isobe, and Naoki Taniguchi
- Journal Title
  
  Journal of Algebra
  
  Volume: 555 Pages: 96-130
- DOI
  10.1016/j.jalgebra.2020.01.028
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14176, KAKENHI-PROJECT-20K14299, KAKENHI-PROJECT-16K05112, KAKENHI-PROJECT-20J10517
[Journal Article] Efficient generation of ideals in core subalgebras of the polynomial ring $k[t]$ over a field $k$2020
- Author(s)
  Endo Naoki、Goto Shiro、Matsuoka Naoyuki、Yamamoto Yuki
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 148 Issue: 8 Pages: 3283-3292
- DOI
  10.1090/proc/15032
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03227, KAKENHI-PROJECT-20K14299, KAKENHI-PROJECT-16K05112
[Journal Article] Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings2020
- Author(s)
  Goto Shiro、Isobe Ryotaro、Kumashiro Shinya
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 224 Issue: 2 Pages: 747-767
- DOI
  10.1016/j.jpaa.2019.06.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03227, KAKENHI-PROJECT-19J10579, KAKENHI-PROJECT-16K05112
[Journal Article] Residually faithful modules and the Cohen-Macaulay type of idealizations2019
- Author(s)
  Shiro Goto，Shinya Kumashiro, and Nguyen Thi Hong Loan
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 印刷中
- NAID
  130007733379
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] Residually faithful modules and the Cohen–Macaulay type of idealizations2019
- Author(s)
  Shiro Goto and Nguyen Thi Hong Loan
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 71 Issue: 4 Pages: 1269-1291
- DOI
  10.2969/jmsj/80398039
- NAID
  130007733379
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112, KAKENHI-PROJECT-18K03227
[Journal Article] Generalized Gorenstein Arf rings2019
- Author(s)
  Ela Celikbas, Olgur Celikbas, Shiro Goto, and Naoki Taniguchi
- Journal Title
  
  Ark. Mat.
  
  Volume: 57 Issue: 1 Pages: 35-53
- DOI
  10.4310/arkiv.2019.v57.n1.a3
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112, KAKENHI-PROJECT-18K03227, KAKENHI-PROJECT-17K14176
[Journal Article] The structure of Ulrich ideals in Cohen-Macaulay local rings of dimension one2019
- Author(s)
  Shiro Goto, Ryotaro Isobe, and Shinya Kumashiro
- Journal Title
  
  Acta Math. Vietnam
  
  Volume: 44 Issue: 1 Pages: 65-82
- DOI
  10.1007/s40306-018-0283-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] On the almost Gorenstein property in Rees algebras of contracted ideals2019
- Author(s)
  Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi, Ken-ichi Yoshida
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 59 Issue: 4 Pages: 769-785
- DOI
  10.1215/21562261-2018-0001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05112, KAKENHI-PROJECT-18K03227, KAKENHI-PROJECT-19K03430, KAKENHI-PROJECT-17K14176
[Journal Article] On the Ideal Case of a Conjecture of Huneke and Wiegand2019
- Author(s)
  Celikbas Olgur、Goto Shiro、Takahashi Ryo、Taniguchi Naoki
- Journal Title
  
  Proceedings of the Edinburgh Mathematical Society
  
  Volume: 62 Issue: 3 Pages: 847-859
- DOI
  10.1017/s0013091518000731
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03227, KAKENHI-PROJECT-19K03443, KAKENHI-PROJECT-16H03923, KAKENHI-PROJECT-16K05098, KAKENHI-PROJECT-17K14176, KAKENHI-PROJECT-16KK0099
[Journal Article] Ulrich ideals and $2$-AGL rings2019
- Author(s)
  Shiro Goto and Naoki Taniguchi
- Journal Title
  
  arXiv:1704.01278, 2017
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] Almost Gorenstein rings arising from fiber products2019
- Author(s)
  Noki Endo, Shiro Goto, and Ryotaro Isobe
- Journal Title
  
  arXiv:1904.07051, 2019
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings2019
- Author(s)
  Shiro Goto, Ryotaro Isobe, and Shinya Kumashiro
- Journal Title
  
  J. Pure and Appl. Algebra
  
  Volume: 印刷中
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] On the ideal case of a conjecture of Huneke and Wiegand2019
- Author(s)
  Olgur Celikbas, Shiro Goto, Ryo Takahashi, Naoki Taniguchi
- Journal Title
  
  Proc. Edinburgh Math. Soc.
  
  Volume: 62 Pages: 847-859
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] Sally modules of canonical ideals in dimension one and 2-AGL rings2019
- Author(s)
  Chau Tran Do Minh、Goto Shiro、Kumashiro Shinya、Matsuoka Naoyuki
- Journal Title
  
  Journal of Algebra
  
  Volume: 521 Pages: 299-330
- DOI
  10.1016/j.jalgebra.2018.11.023
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03227, KAKENHI-PROJECT-16K05112
[Journal Article] On the sequential polynomial type of modules2018
- Author(s)
  Shiro Goto and Le Thanh Nhan
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 70 Issue: 1 Pages: 365-385
- DOI
  10.2969/jmsj/07017535
- NAID
  130006334147
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] When is $R \ltimes I$ an almost Gorenstein local ring?2018
- Author(s)
  Shiro Goto and Shinya Kumashiro
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 146 Pages: 1431-1437
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] Pseudo-Frobenius numbers versus generation of defining ideals in numerical semigroup rings2018
- Author(s)
  Shiro Goto, Do Van Kien, Naoyuki Matsuoka, Hoang Le Truong
- Journal Title
  
  J. Algebra
  
  Volume: 508 Pages: 1-15
- DOI
  10.1016/j.jalgebra.2018.04.025
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112, KAKENHI-PROJECT-18K03227
[Journal Article] On the almost Gorenstein property in Rees algebras of contracted ideals2018
- Author(s)
  Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi, Ken-ichi Yoshida
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400054
[Journal Article] The almost Gorenstein Rees algebras of pg-ideals, good ideals, and powers of the maximal ideals2018
- Author(s)
  Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi, Ken-ichi Yoshida
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: 67 Pages: 159-174
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400054
[Journal Article] On the almost Gorenstein property in Rees algebras of contracted ideals, Kyoto J. Math.2018
- Author(s)
  Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi, Ken-ichi Yoshida
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 印刷中
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] Invariants of Cohen-Macaulay rings associated to their canonical ideals2018
- Author(s)
  Laura Ghezzi, Shiro Goto, Jooyoun Hong, and Wolmer V. Vasconcelos
- Journal Title
  
  J. Algebra
  
  Volume: 印刷中
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] The almost Gorenstein Rees algebras of pg-ideals, good ideals, and powers of the maximal ideals2018
- Author(s)
  Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi, Ken-ichi Yoshida
- Journal Title
  
  Michigan Math. J.
  
  Volume: 67 Issue: 1 Pages: 159-174
- DOI
  10.1307/mmj/1516330972
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112, KAKENHI-PROJECT-18K03227
[Journal Article] When are the Rees algebras of parameter ideals almost Gorenstein graded rings?2017
- Author(s)
  Shiro Goto, Rahimi Mehran, Naoki Taniguchi, Hoang Le Truong
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 57 Pages: 655-666
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400054
[Journal Article] When are the Rees algebras of parameter ideals almost Gorenstein graded rings?2017
- Author(s)
  Shiro Goto, Mehran Rahimi, Naoki Taniguchi, and Hoang Le Truong
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 57 Issue: 3 Pages: 655-666
- DOI
  10.1215/21562261-2017-0010
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] On the sequential polynomial type of modules2017
- Author(s)
  Shiro Goto, Le Thanh Nhan
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 印刷中
- NAID
  130006334147
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] When are the Rees algebras of parameter ideals almost Gorenstein graded rings?2017
- Author(s)
  Shiro Goto, Mehran Rahimi, Naoki Taniguchi, and Hoang Le Truong
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400054
[Journal Article] Hilbert polynomials of j-transforms2016
- Author(s)
  Shiro Goto, Jooyoun Hong, Wolmer V. Vasconcelos
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Society
  
  Volume: 161 Issue: 2 Pages: 305-337
- DOI
  10.1017/s0305004116000268
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Journal Article] The almost Gorenstein Rees algebras of parameters2016
- Author(s)
  Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi, and Ken-ichi Yoshida
- Journal Title
  
  Journal of Algebra
  
  Volume: 452 Pages: 263-278
- DOI
  10.1016/j.jalgebra.2015.12.022
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-14J00126, KAKENHI-PROJECT-25400050, KAKENHI-PROJECT-25400051, KAKENHI-PROJECT-16K05110, KAKENHI-PROJECT-16K05112, KAKENHI-PROJECT-26400054
[Journal Article] The almost Gorenstein Rees algebras over two-dimensional regular local rings2016
- Author(s)
  Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi, and Ken-ichi Yoshida
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 220 Issue: 10 Pages: 3425-3436
- DOI
  10.1016/j.jpaa.2016.04.007
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-14J00126, KAKENHI-PROJECT-25400051, KAKENHI-PROJECT-16K05110, KAKENHI-PROJECT-16K05112, KAKENHI-PROJECT-26400054
[Journal Article] Sectional genera of parameter ideals2016
- Author(s)
  Shiro Goto and Kazuho Ozeki
- Journal Title
  
  Journal of Algebra
  
  Volume: 446 Pages: 58-76
- DOI
  10.1016/j.jalgebra.2015.09.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04820, KAKENHI-PROJECT-25400051
[Journal Article] Ulrich ideals and almost Gorenstein rings2016
- Author(s)
  S. Goto, R. Takahashi, and N. Taniguchi
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 144 Pages: 2811-2823
- NAID
  120005844131
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400051
[Journal Article] Ulrich ideals and modules of two-dimensional rational singularities2016
- Author(s)
  Shiro Goto; Kazuho Ozeki; Ryo Takahashi; Kei-ichi Watanabe; Ken-ichi Yoshida
- Journal Title
  
  Nagoya Math. J.
  
  Volume: 221 Issue: 1 Pages: 69-110
- DOI
  10.1017/nmj.2015.1
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400038, KAKENHI-PROJECT-24340004, KAKENHI-PROJECT-16K05098, KAKENHI-PROJECT-16K05110, KAKENHI-PROJECT-16K05112
[Journal Article] Ulrich ideals and almost Gorenstein rings2016
- Author(s)
  Shiro Goto, Ryo Takahashi, and Naoki Taniguchi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 144 Issue: 7 Pages: 2811-2823
- DOI
  10.1090/proc/12970
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-14J00126, KAKENHI-PROJECT-16H03923, KAKENHI-PROJECT-16K05098, KAKENHI-PROJECT-16K05112
[Journal Article] Extension closedness of syzygies and local Gorensteinness of commutative rings2016
- Author(s)
  Shiro Goto, Ryo Takahashi
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 19 Issue: 3 Pages: 511-521
- DOI
  10.1007/s10468-015-9585-0
- NAID
  120005889992
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03923, KAKENHI-PROJECT-16K05098, KAKENHI-PROJECT-16K05112
[Journal Article] Almost Gorenstein rings -towards a theory of higher dimension2015
- Author(s)
  Shiro Goto, Ryo Takahashi and Naoki Taniguchi
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 219 Issue: 7 Pages: 2666-2712
- DOI
  10.1016/j.jpaa.2014.09.022
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-14J00126, KAKENHI-PROJECT-25400051, KAKENHI-PROJECT-26400054
[Journal Article] Huneke-Wiegand conjecture and change of rings2015
- Author(s)
  Shiro Goto, Ryo Takahashi, Naoki Taniguchi and Hoang Le Truong
- Journal Title
  
  Journal of Algebra
  
  Volume: 422 Pages: 33-52
- DOI
  10.1016/j.jalgebra.2014.09.006
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-14J00126, KAKENHI-PROJECT-25400038, KAKENHI-PROJECT-26400054, KAKENHI-PROJECT-25400051
[Journal Article] The second Hilbert coefficients and the homological torsions of parameters2015
- Author(s)
  Shiro Goto, Kazuho Ozeki
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 219 Issue: 5 Pages: 1685-1703
- DOI
  10.1016/j.jpaa.2014.07.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800020, KAKENHI-PROJECT-26400054, KAKENHI-PROJECT-15K04820, KAKENHI-PROJECT-25400051
[Journal Article] On the cofiniteness of generalized local cohomology modules2015
- Author(s)
  Nguyen Tu Cuong, Shiro Goto, and Nguyen Van Hoang
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 55 Pages: 169-185
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400051
[Journal Article] The Chern and Euler coefficients of modules2015
- Author(s)
  L. Ghezzi, S. Goto, J. Hong, K. Ozeki, T. T. Phuong, and V. W. Vasconcelos
- Journal Title
  
  Acta Math Vietnam
  
  Volume: 40 Pages: 37-60
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400051
[Journal Article] Ulrich ideals and modules2014
- Author(s)
  S. Goto, K. Ozeki, R. Takahashi, K. Watanabe, K. Yoshida
- Journal Title
  
  Math. Proc. Cambridge Philos. Soc.
  
  Volume: 156 Issue: 1 Pages: 137-166
- DOI
  10.1017/s0305004113000571
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340004, KAKENHI-PROJECT-25400038, KAKENHI-PROJECT-25400050, KAKENHI-PROJECT-25400051, KAKENHI-PROJECT-25800020
[Journal Article] The first Euler characteristics versus the homological degrees2014
- Author(s)
  S. Goto and K. Ozeki
- Journal Title
  
  The Proceedings of the 2012 Conference at IMPA，Bull Braz Math Soc
  
  Volume: 45 Issue: 4 Pages: 679-709
- DOI
  10.1007/s00574-014-0069-3
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400051, KAKENHI-PROJECT-25800020, KAKENHI-PROJECT-26400054
[Journal Article] Almost Gorenstein rings2013
- Author(s)
  S. Goto, N. Matsuoka, and T. T. Phuong
- Journal Title
  
  Journal of Algebra
  
  Volume: 379 Pages: 355-381
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Hilbert coefficients and sequentiallyCohen-Macaulay modules2013
- Author(s)
  N. Cuong, S. Goto, and H. L. Truong
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 217 Pages: 470-480
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The equality $I^2 = \q I$ in sequentially Cohen-Macaulay rings2013
- Author(s)
  N. Cuong, S. Goto
- Journal Title
  
  J. Algebra
  
  Volume: 379 Pages: 50-79
- DOI
  10.1016/j.jalgebra.2012.12.007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400051
[Journal Article] Hilbert coefficients and sequentially Cohen-Macaulay modules2013
- Author(s)
  N. Cuong, S. Goto, and H. L. Truong
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 217 Pages: 470-480
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The equality $I^2 = ￥q I$ in sequentially Cohen-Macaulay rings2013
- Author(s)
  N. Cuong, S. Goto, and H. L. Truong
- Journal Title
  
  J. Algebra
  
  Volume: 379 Pages: 50-79
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Almost Gorenstein rings2013
- Author(s)
  S. Goto, N. Matsuoka, and T. T. Phuong
- Journal Title
  
  Journal of Algebra
  
  Volume: 379 Pages: 355-381
- DOI
  10.1016/j.jalgebra.2013.01.025
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400051
[Journal Article] The equality I^2 = q I in sequentially Cohen-Macaulay rings2013
- Author(s)
  N. Cuong, S. Goto, and H. L. Truong
- Journal Title
  
  Journal of Algebra
  
  Volume: 379 Pages: 50-79
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Hilbert coefficients and sequentially Cohen-Macaulay modules2013
- Author(s)
  N. Cuong, S. Goto, and H. L. Truong
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 217 Issue: 3 Pages: 470-480
- DOI
  10.1016/j.jpaa.2012.06.026
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400051
[Journal Article] J. Sally's question and a conjecture of Y. Shimoda2013
- Author(s)
  S. Goto, L. O'Carroll, and F. Planas-Vilanova
- Journal Title
  
  Nagoya Math. J.
  
  Volume: 211 Pages: 137-161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400051
[Journal Article] Variation of Hilbert Coefficients2013
- Author(s)
  L. Ghezzi, S. Goto, J. Hong, and W. V. Vasconcelos
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 141 Pages: 3037-3048
- Data Source
  KAKENHI-PROJECT-25400051
[Journal Article] Negativity of the Chern Number of Parameter Ideals, Algebra and its applications, Recent developments2012
- Author(s)
  S. Goto, M. Mandal, and J. Verma
- Journal Title
  
  Narosa (A. Beg and M. Ashraf (Editors))
  
  Volume: 53-68 Pages: 53-68
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Variation of the first Hilbert coefficients of parameters with a common integral closure2012
- Author(s)
  L. Ghezzi, S. Goto, K. Ozeki, J. Hong, T.T. Phuong, and W. V. Vasconcelos
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 216 Pages: 216-232
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Variation of the first Hilbert coefficients of parameters with a common integral closure2012
- Author(s)
  L. Ghezzi, S. Goto, K. Ozeki, J. Hong, T.T. Phuong, and W. V. Vasconcelos
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 216 Pages: 216-232
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The homology of parameter ideals2012
- Author(s)
  S. Goto, J. Hong, and W. V. Vasconcelos
- Journal Title
  
  Journal of Algebra
  
  Volume: 368 Pages: 271-299
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The leading ideal of a complete intersectionof height two, Part I I I2012
- Author(s)
  S. Goto, W. Heinzer, and M.-K. Kim
- Journal Title
  
  Comm. Algebra
  
  Volume: 40 Pages: 2523-2539
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The positivity of the first normalized Hilbert coefficients2011
- Author(s)
  S. Goto, J. Hong, and M. Mandal
- Journal Title
  
  The Proceedings of the American Mathematical Society
  
  Volume: 139 Pages: 2399-2406
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Buchsbaumnessin local rings possessing constant first Hilbert coefficients of parameters2010
- Author(s)
  S. Goto and K. Ozeki
- Journal Title
  
  Nagoya Math. J
  
  Volume: 199 Pages: 95-105
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Quasi-socle ideals in Buchsbaum rings2010
- Author(s)
  後藤四郎, 堀内淳, 桜井秀人
- Journal Title
  
  Nagoya Math.J.
  
  Volume: 200 Pages: 93-106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Quasi-socle ideals and Goto numbers of parameters2010
- Author(s)
  S. Goto, S. Kimura, T.T. Phuong, H.L. Truong
- Journal Title
  
  Journal of Pure and Applied Algebra 214
  
  Pages: 501-511
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Sequentially Cohen-Macaulayness versus parametric decomposition of powers of parameter ideals2010
- Author(s)
  後藤四郎, 堀内陽介, 桜井秀人
- Journal Title
  
  J.Commut.Algebra
  
  Volume: 2 Pages: 37-54
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Sequentially Cohen-Macaulayness versus parametric decomposition of powers of parameter ideals2010
- Author(s)
  S. Goto, Y. Horiuchi, and H. Sakurai
- Journal Title
  
  Journal of Commutative Algebra
  
  Volume: 2 Pages: 37-54
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Quasi-socle ideals in Buchsbaum rings2010
- Author(s)
  S. Goto, J. Horiuchi, and H. Sakurai
- Journal Title
  
  Nagoya Math. J
  
  Volume: 200 Pages: 93-106
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Sequentially Cohen-Macaulayness versus parametric decomposition of powers of parameter ideals2010
- Author(s)
  S. Goto, Y. Horiuchi, H. Sakurai
- Journal Title
  
  Journal of Commutative Algebra 2
  
  Pages: 37-54
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Quasi-socle ideals and Goto numbers of parameters2010
- Author(s)
  S.Goto, S.Kimura, T.T.Phuong, H.L.Truong
- Journal Title
  
  Journal of Pure and Applied Algebra 214
  
  Pages: 501-511
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals2010
- Author(s)
  L.Ghezzi, 後藤四郎, 大関一秀, J.Hong, T.T.Phuong, W.V.Vasconcelos
- Journal Title
  
  J.London Math.Soc.(2)
  
  Volume: 81 Pages: 679-695
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Quasi-socle ideals and Goto numbers of parameters2010
- Author(s)
  後藤四郎, 木村了, T.T.Phuong, L.H.Truong
- Journal Title
  
  J.Pure Appl.Algebra
  
  Volume: 214 Pages: 501-511
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] The structure of Sally modules-towards a theory of non-Cohen-Macaulay cases2010
- Author(s)
  後藤四郎, 大関一秀
- Journal Title
  
  J.Algebra
  
  Volume: 324 Pages: 2129-2165
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Sequentially Cohen-Macaulayness versus parametric decomposition of powers of parameter ideals2010
- Author(s)
  S.Goto, Y.Horiuchi, H.Sakurai
- Journal Title
  
  Journal of Commutative Algebra 2
  
  Pages: 37-54
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The structure of Sally modules - towards a theory of non-Cohen-Macaulay cases -2010
- Author(s)
  S. Goto and K. Ozeki
- Journal Title
  
  J. Algebra
  
  Volume: 324 Pages: 2129-2165
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals2010
- Author(s)
  L. Ghezzi, S. Goto, K. Ozeki, J. Hong, T.T. Phuong, and W. V. Vasconcelos
- Journal Title
  
  J. London Math. Soc.
  
  Volume: 81(2) Pages: 679-695
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Quasi-socle ideals and Goto numbers of parameters2010
- Author(s)
  S. Goto, S. Kimura, T. T. Phuong, andH. L. Truong
- Journal Title
  
  Journal of Pure andApplied Algebra
  
  Volume: 214 Pages: 501-511
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters2010
- Author(s)
  後藤四郎, 大関一秀
- Journal Title
  
  Nagoya Math.J.
  
  Volume: 199 Pages: 95-105
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Uniform bounds for Hilbert coefficients of parameters, "Commutative Algebra and its Connections to Geometry (PASI 2009)2009
- Author(s)
  S. Goto and K. Ozeki
- Journal Title
  
  Contemp. Math
  
  Volume: 555 Pages: 97-118
- Data Source
  KAKENHI-PROJECT-22540054
[Journal Article] Quasi-socle ideals in local rings with Gorenstein tangent cones2009
- Author(s)
  S. Goto, S. Kimura, N. Matsuoka, Tran Thi Phuong
- Journal Title
  
  Journal of Commutative Algebra (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Quasi-socle ideals in local rings with Gorenstein tangent cones2009
- Author(s)
  S.Goto, S.Kimura, N.Matsuoka, Tran Thi Phuong
- Journal Title
  
  Journal of Commutative Algebra 1
  
  Pages: 603-620
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] uasi-socle ideals in local rings with Gorenstein tangent cones2009
- Author(s)
  S. Goto, S. Kimura, N. Matsuoka, Tran Thi Phuong
- Journal Title
  
  Journal of Commutative Algebra 1
  
  Pages: 603-620
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Quasi-socle ideals in Gorenstein local rings2008
- Author(s)
  S. Goto, N. Matsuoka, R. Takahashi
- Journal Title
  
  J. Pure and Appl. Alg. 212
  
  Pages: 969-980
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Quasi-socle ideals in Gorenstein numerical semigroups ring2008
- Author(s)
  Goto Shiro, Kimura Satoru, Matsuoka Naoyuki
- Journal Title
  
  J. Algebra 320
  
  Pages: 276-293
- NAID
  40015430661
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Sally modules of rank one2008
- Author(s)
  後藤四郎、西田康二、大関一秀
- Journal Title
  
  Michigan Math. J. vol.57
  
  Pages: 359-381
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Quasi-socle ideals in Gorenstein local rings2008
- Author(s)
  S. Goto, N. Matsuoka, R. Takahashi
- Journal Title
  
  J. Pure and Appl. Alg., 212(2008), 969-980 212
  
  Pages: 969-980
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] On vanishing of certain Ext modules2008
- Author(s)
  S. Goto, F. Hayasaka, R. Takahashi
- Journal Title
  
  J. Math. Soc. Japan 60
  
  Pages: 1045-1064
- NAID
  10024905254
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] On vanishing of certain Ext modules2008
- Author(s)
  後藤四郎、早坂太、高橋亮
- Journal Title
  
  J. Math. Soc.Japan vol.60
  
  Pages: 1045-1064
- NAID
  10024905254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] The leading ideal of a complete intersection of height two in a 2-dimensional regular local ring2008
- Author(s)
  後藤四郎、William Heinzer, Mee-Kyoung Kim
- Journal Title
  
  Comm. Algebra vol.36
  
  Pages: 1901-1910
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] On vanishine of certain Ext modules2008
- Author(s)
  Goto Shiro, Hayasaka Futoshi, Yakahashi Ryo
- Journal Title
  
  J. Math. Soc. Japan 60
  
  Pages: 1045-1064
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Quasi-socle ideals in Gorenstein local ring2008
- Author(s)
  S.Goto, N.Matsuoka, and R.Takahashi
- Journal Title
  
  J. Pure and Appl. Alg 212
  
  Pages: 969-980
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The structure of Sally modules of rank one2008
- Author(s)
  Goto Shiro, Nishida Koji, Ozeki Kazuho
- Journal Title
  
  Math, Res. Lett. 15
  
  Pages: 881-892
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] The structure of Sally modules of rank one2008
- Author(s)
  S. Goto, K. Nishida, K. Ozeki
- Journal Title
  
  Mathematical Research Letters 15
  
  Pages: 881-892
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Quasi-socle ideals in a Gorenstein local rings2008
- Author(s)
  後藤四郎、高橋亮、松岡直之
- Journal Title
  
  J. Pure Appl. Algebra vol.212
  
  Pages: 969-980
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Quasi-socle ideals in a Gorenstein local ring2008
- Author(s)
  Goto, Shiro
- Journal Title
  
  J.Pure Appl.Algebra 212
  
  Pages: 969-980
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] The structure of Sally modules of rank one2008
- Author(s)
  後藤四郎、西田康二、大関一秀
- Journal Title
  
  Math. Res. Lett. vol.15
  
  Pages: 881-892
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Sally modules of rank one2008
- Author(s)
  S. Goto, K. Nishida, K. Ozeki
- Journal Title
  
  Michigan Math. J. 57
  
  Pages: 359-381
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The leading ideal of a complete intersection of height two in a 2-dimensional regular local ring2008
- Author(s)
  S. Goto, W. Heinzer, M.-K. Kim
- Journal Title
  
  Communications in Algebra 36
  
  Pages: 1901-1910
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The leading ideal of a complete intersection of height two ina 2-dimensional regular local ring2008
- Author(s)
  S. Goto, W. Heinzer, M. -K. Kim
- Journal Title
  
  Communications in Algebra 36
  
  Pages: 1901-1910
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Quasi-socle ideal in Gorenstein numerical semigroup rings2008
- Author(s)
  後藤四郎、木村了、松岡直之
- Journal Title
  
  J. Algebra vol.320
  
  Pages: 276-293
- NAID
  40015430661
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] The leading ideal of a complete intersection of height two, II2007
- Author(s)
  後藤四郎、William Heinzer, Mee-Kyoung Kim
- Journal Title
  
  J. Algebra vol.312
  
  Pages: 709-732
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Buchsbaum homogeneous algebras with minimal multiplicity2007
- Author(s)
  後藤四郎、吉田健一
- Journal Title
  
  J. Pure Appl.Algebra vol.210
  
  Pages: 735-749
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] The leading ideal of a complete intersection of height two, Part II2007
- Author(s)
  S. Goto, W. Heinzer, M.-K. Kim
- Journal Title
  
  J. Alg. 312
  
  Pages: 709-732
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Quasi-socle ideals in Gorenstein numerical semigroup rings2007
- Author(s)
  S. Goto, S. Kimura, N. Matsuoka
- Journal Title
  
  J. Alg. 210
  
  Pages: 735-749
- NAID
  40015430661
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Stanley-Reisner ideals whose powers have finite length cohomologies2007
- Author(s)
  後藤四郎、高山幸秀
- Journal Title
  
  Proc. Amer. Math. Soc. vol.135
  
  Pages: 2355-2364
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Buchsbaum homogeneous algebras with minimal multiplicity2007
- Author(s)
  S. Goto, K. Yoshida
- Journal Title
  
  J. Pure and Appl. Alg. 210
  
  Pages: 735-749
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The leading ideal of a complex intersection of height two, Part II2007
- Author(s)
  S.Goto, W.Heinzer, and M.-K.Kim
- Journal Title
  
  J. Alg 312
  
  Pages: 709-732
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Stanley-Reisner ideals whose powers have finite length cohomologies2007
- Author(s)
  S.Goto and Y.Takayama
- Journal Title
  
  Proc. Amer. Math. Soc 135
  
  Pages: 2355-2364
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Buchsbaum homogeneous algebras with minlmal multiplicity2007
- Author(s)
  Goto, Shiro
- Journal Title
  
  J.Pure Appl.Algebra 210
  
  Pages: 735-749
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] The leading ideal of a complete intersection of height two,II2007
- Author(s)
  Goto, Shiro
- Journal Title
  
  J.Algebra 312
  
  Pages: 709-732
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Stanley-Reisner ideals whose powers have finite length cohomologies2007
- Author(s)
  S. Goto, Y. Takayama
- Journal Title
  
  Proc. Amer. Math. Soc. 135
  
  Pages: 2355-2364
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The leading ideal of a complete intersection of height two2006
- Author(s)
  Shiro Goto 他2名
- Journal Title
  
  Journal of Algebra 298-1
  
  Pages: 238-247
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Iwasawa invariants on non-cyclotomic Zp-extensions of CM fields2006
- Author(s)
  後藤英樹
- Journal Title
  
  Proc. Japan Acad. vol.82
  
  Pages: 152-154
- NAID
  40015197425
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] The leading iedeal of a complete intersection of height two2006
- Author(s)
  S. Goto, W. Heinzer, Mee-Kyoung Kim
- Journal Title
  
  J. Algebra 298
  
  Pages: 238-247
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The leading ideal of a Complete intersection of height two2006
- Author(s)
  S.Goto, W.Heinzer, and Mee-Kyoung Kim
- Journal Title
  
  J.Algebra 298
  
  Pages: 238-247
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] When does the equality I~2=QI hold true in Buchsbaum ring?2006
- Author(s)
  Shiro Goto, Hideto Sakurai
- Journal Title
  
  Lect. Notes Pure Appl. Math. 244
  
  Pages: 115-139
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Iwasawa invariants on non-cyclotomic Zp-extensions of CM-fields2006
- Author(s)
  後藤英樹
- Journal Title
  
  Proc. Japan Acad., Ser. A, Math. Sci. 82-9
  
  Pages: 152-154
- NAID
  40015197425
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] Quasi-socle ideals in Gorenstein numerical semi-group rings2006
- Author(s)
  後藤四郎, 松岡直之, 木村了
- Journal Title
  
  明治大学理工学部研究報告 30
  
  Pages: 1-8
- NAID
  40015430661
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] The leading ideal of a complete intersection of height two2006
- Author(s)
  後藤四郎、William Heinzer, Mee-Kyoung Kim
- Journal Title
  
  J. Algebra vol.298
  
  Pages: 238-247
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540053
[Journal Article] The leading ideal of a complete intersection of height two2006
- Author(s)
  S.Goto, W.Heinzer, Mee-Kyoung Kim
- Journal Title
  
  J.Alg. 298
  
  Pages: 238-247
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Gorenstein graded rings associated to ideals2005
- Author(s)
  後藤四郎, 居相真一郎
- Journal Title
  
  J.Algebra 294
  
  Pages: 373-407
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring2005
- Author(s)
  S. Goto, F. Hayasaka, K. Kurano, Y. Nakamura
- Journal Title
  
  Commutative Algebra and Algebraic Geometry, Contemp. Math. Amer. Math. Soc., Providence, RI 390
  
  Pages: 97-108
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] When does the equality I^2=QI hold true in Buchsbaum rings?2005
- Author(s)
  S.Goto
- Journal Title
  
  Marcel Dekker's Lecture Notes in Pure and Applied Mathematics Series 244
  
  Pages: 115-139
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Gorenstein graded rings associated to ideals2005
- Author(s)
  S, Goto and S.-i.Iai
- Journal Title
  
  J.Algebra 294
  
  Pages: 373-407
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] When does the equality $I^2=QI$ hold true in Buchsbaum rings?2005
- Author(s)
  S. Goto, H. Sakurai
- Journal Title
  
  The Special Volume on Commutative Algebra with a focus on geometric and homological aspects', Proceedings of Sevilla, June 18-21, 2003 and Lisbon, June 23-27, 2003, Lecture Notes in Pure and Applied Mathematics Series' 244
  
  Pages: 115-139
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] When does the equality I^2=QI hold true in Buchsbaum rings?2005
- Author(s)
  S.Goto
- Journal Title
  
  Marcel Dekker's Lecture Note in Pure and Applied Mathematics Series 244
  
  Pages: 115-139
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring2005
- Author(s)
  S.Goto
- Journal Title
  
  Contemporary Math. 390
  
  Pages: 97-108
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Rees algebras of the Second syzygy module of the residue field of a regular local ring2005
- Author(s)
  S.Goto, F.Hayasaka, K.Kurano, and Y.Nakamura
- Journal Title
  
  Commutative Algebra and Algebraic Geometry, Contemp. Math., Amer.Math.Soc., Providence, RI, 2005 390
  
  Pages: 97-108
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Gorenstein graded rings associated to ideals2005
- Author(s)
  S.Goto
- Journal Title
  
  J.Algebra 294
  
  Pages: 373-407
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] When does the equality $I^2 = QI$ hold true in Buchsbaum nings ?2005
- Author(s)
  後藤四郎, 櫻井秀人
- Journal Title
  
  Marcel Dekker's Lecture Notes in Pure and Applied Mathematics Series 244
  
  Pages: 115-139
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring2005
- Author(s)
  後藤四郎, 早坂太, 蔵野和彦, 中村幸男
- Journal Title
  
  Contemp.Math. 390
  
  Pages: 97-108
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] When does the equality $I^2=QI$ hold true in Buchsbaum rings2005
- Author(s)
  S.Goto and H.Sakurai
- Journal Title
  
  the Special Volume on 'Commutative Algebra with a focus on gemetric and homological aspects', Proceedings of Sevilla, June 18-21, 2003 and Lisbon, June 23-27, 2003, Lecture Notes in Pure and Applied Mathematics 244
  
  Pages: 115-139
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Gorenstein graded rings associated to ideals2005
- Author(s)
  S.Goto
- Journal Title
  
  J. Algebra 294
  
  Pages: 373-407
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Gorenstein graded rings associated to ideals2005
- Author(s)
  S. Goto, S.-i. Iai
- Journal Title
  
  J. Algebra 294
  
  Pages: 373-407
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two2004
- Author(s)
  S.Goto
- Journal Title
  
  J. Math. Soc. Japan 56
  
  Pages: 1157-1168
- NAID
  10013753523
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two2004
- Author(s)
  S.Goto
- Journal Title
  
  J.Math.Soc.Japan 56
  
  Pages: 1157-1168
- NAID
  10013753523
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] The reduction exponent of socle ideas associated to parameter ideals in a Buchsbaum local ring of multiplicity two2004
- Author(s)
  後藤四郎
- Journal Title
  
  J. Math Soc. Japan 56
  
  Pages: 1157-1168
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] On the parametric decomposition of power of parameter ideals in a Noetherian local ring2004
- Author(s)
  S.Goto
- Journal Title
  
  Tokyo J. Math. 27
  
  Pages: 125-135
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] On the parametric decomposition of powers of parameter ideals2004
- Author(s)
  Shiro Goto, Y.Shimoda
- Journal Title
  
  Tokyo J.Math. 27, no.1
  
  Pages: 125-135
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] Parametric decomposition of powers of ideals versus regularity of sequences2004
- Author(s)
  Shiro Goto, Y.Shimoda
- Journal Title
  
  Proc.Amer.Math.Soc. 132, no.4
  
  Pages: 929-933
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] On the parametric decomposition of powers of parameter ideals in a Noetherian local ring2004
- Author(s)
  S.Goto
- Journal Title
  
  Tokyo J.Math. 27-1
  
  Pages: 125-135
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Parametric decomposition of powers of ideals versus regularity of sequences2004
- Author(s)
  後藤四郎, 下田保博
- Journal Title
  
  Proc.Amer.Math.Soc. 132(4)
  
  Pages: 929-933
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two2004
- Author(s)
  Shiro Goto, H.Sakurai
- Journal Title
  
  J.Math.Soc.Japan 56, no.4
  
  Pages: 1157-1168
- NAID
  10013753523
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two2004
- Author(s)
  S.Goto, H.Sakurai
- Journal Title
  
  J.Math.Soc.Japan 56
  
  Pages: 1157-1168
- NAID
  10013753523
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two2004
- Author(s)
  後藤四郎, 櫻井秀人
- Journal Title
  
  J.Math.Soc.Japan 56(4)
  
  Pages: 1157-1168
- NAID
  10013753523
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity2004
- Author(s)
  S.Goto
- Journal Title
  
  J. Math. Soc. Japan 56
  
  Pages: 1157-1168
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] On the parametric decomposition of powers of parameter ideals2004
- Author(s)
  後藤四郎, 下田保博
- Journal Title
  
  Tokyo J.Math. 27(1)
  
  Pages: 125-135
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two2004
- Author(s)
  S.Goto and H.Sakurai
- Journal Title
  
  J.Math.Soc.Japan 56
  
  Pages: 1157-1168
- NAID
  10013753523
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] On the parametric decomposition of powers of parameter ideals in a Noetherian local ring2004
- Author(s)
  S.Goto
- Journal Title
  
  Tokyo J. Math. 27-1
  
  Pages: 125-135
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two2004
- Author(s)
  S. Goto, H. Sakurai
- Journal Title
  
  J. Math. Soc. Japan 56
  
  Pages: 1157-1168
- NAID
  10013753523
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] On the parametric decomposition of powers of parameter ideals in a Noetherian local ring2004
- Author(s)
  S.Goto, Y.Shimoda
- Journal Title
  
  Tokyo J.Math. 27-1
  
  Pages: 125-135
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Hilbert coefficients and Buchsbaumness of associated graded rings2003
- Author(s)
  S.Goto
- Journal Title
  
  J. Pure and Appl. Alg. 181
  
  Pages: 61-74
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Hilbert coefficients and Buchsbaumness of associated graded rings2003
- Author(s)
  S.Goto
- Journal Title
  
  J.Pure and Appl.Alg. 181
  
  Pages: 61-74
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] The a-invariant and Gorensteinness of graded rings associated to filtrations of ideals in regular local rings2003
- Author(s)
  後藤四郎, 早坂太, 居相真一郎
- Journal Title
  
  Proc.Amer.Math.Soc. 131(1)
  
  Pages: 87-96
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The equality I^2=QI in Buchsbaum rings2003
- Author(s)
  Shiro Goto, H.Sakurai
- Journal Title
  
  Rend.Sem.Mat.Univ.Padova 110
  
  Pages: 25-56
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The a-invariant and Gorensteinness of graded rings associated to filtrations of ideals in regular local rings2003
- Author(s)
  Shiro Goto, F.Hayasaka, S.Iai
- Journal Title
  
  Proc.Amer.Math.Soc. 131 no.1
  
  Pages: 87-94
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The a-invariant and Gorensteinness of graded rings associated to filtrations of ideals in regular local rings2003
- Author(s)
  S.Goto
- Journal Title
  
  Proc. Amer. Math. Soc. 131
  
  Pages: 87-94
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Parametric decomposition of power of ideals versus regularity of sequences2003
- Author(s)
  S.Goto
- Journal Title
  
  Proc. Amer. Math. Soc. 132-4
  
  Pages: 929-933
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] 「研究成果報告書概要(欧文)」より2003
- Author(s)
  Shiro Goto
- Journal Title
  
  NATO Sci.Ser.II Math.Phys.Chem.(Kluwer Acad.Publ., Dordrecht) 115
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] Towards a theory of Gorenstein m-primary integrally closed ideals2003
- Author(s)
  後藤四郎, 早坂太, 春日理枝
- Journal Title
  
  Commutative algebra, singularities and computer algebra, NATO Sci.Ser.II 115
  
  Pages: 159-177
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The equality I^2=QI in Buchsbaum rings2003
- Author(s)
  後藤四郎, 櫻井秀人
- Journal Title
  
  Rend.Sem.Mat.Univ.Padova 110
  
  Pages: 25-56
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] Hilbert coefficients and Buchsbaumness of associated graded rings2003
- Author(s)
  Shiro Goto, K.Nishida
- Journal Title
  
  J.Pure and Appl.Algebra 181 no.1
  
  Pages: 61-74
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] Parametric decomposition of powers of ideals versus regularity of sequences2003
- Author(s)
  S.Goto
- Journal Title
  
  Proc.Amer.Math.Soc. 132-4
  
  Pages: 929-933
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] The a-invariant and Gorensteinness of graded rings associated to filtrations of ideals in regular local rings2003
- Author(s)
  S.Goto
- Journal Title
  
  Proc.Amer.Math.Soc. 131
  
  Pages: 87-94
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Hilbert coefficients and Buchsbaumness of associated graded rings2003
- Author(s)
  後藤四郎, 西田憲司
- Journal Title
  
  J.Pure and Appl.Algebra 181(1)
  
  Pages: 61-74
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The bound of the difference between parameter ideals and their tight closures2002
- Author(s)
  後藤四郎, 中村幸男
- Journal Title
  
  Tokyo J.Math. 25(1)
  
  Pages: 41-48
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] Towards a theory of Gorenstein m-primary integrally closed ideals2002
- Author(s)
  Shiro Goto, F.Hayasaka, S.Kasuga
- Journal Title
  
  Commutative algebra, singularities and computer algebra (Sinaia, 2002)
  
  Pages: 159-177
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The bound of the difference between parameter ideals and their tight closures2002
- Author(s)
  Yukio Nakamura, S.Goto
- Journal Title
  
  Tokyo J.Math. 25, no.1
  
  Pages: 41-48
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] Stanley-Reisner ideals whose powers have finite length cohomologies
- Author(s)
  S, Goto and Y.Takayama
- Journal Title
  
  Proc.Amer.Math.Soc. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The leading ideal of a complete intersection of height two
- Author(s)
  S.Goto, W.Heinzer, Mee-Kyoung Kim
- Journal Title
  
  J.Algebra (to appear)
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Buchsbaum homogeneous algebras with minimal multiplicity
- Author(s)
  S.Goto and K.Yoshida
- Journal Title
  
  J.Pure and Appl.Alg. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] On the weakly Arf (S_2)-ifications of Noetherian rings
- Author(s)
  Noki Endo, Shiro Goto, Shin-ichiro Iai, Naoyuki Matsuoka
- Journal Title
  
  Journal of Commutative Algebra
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03211
[Journal Article] Stanley-Reisner ideals whose powers have finite length cohomologies
- Author(s)
  S.Goto, Y.Tkakayama
- Journal Title
  
  Proc.Amer.Math.Soc (to appear)
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Vasconcelos, Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals
- Author(s)
  L. Ghezzi, S. Goto, K. Ozeki, J. Hong, T.T. Phuong, W.V. Vasconcelos
- Journal Title
  
  J. London Math. Soc (to appear)
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Buchsbaum homogeneous algebras with minimal multiplicity
- Author(s)
  S.Goto, K.Yoshida
- Journal Title
  
  J.Pure and Appl.Alg. (to appera)
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] When does the equality $I^2 = QI$ hold true in Buchsbaum rings?
- Author(s)
  S.Goto, H.Sakurai
- Journal Title
  
  Marcel Dekker's Lecture Notes in Pure and Applied Mathematics Series (to appear)
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Gorenstein graded rings associated to ideals
- Author(s)
  S.Goto
- Journal Title
  
  J. Algebra (to appear)
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Stanley-Reisner ideals whose powers have finite length cohomolgies
- Author(s)
  S. Goto, Y. Takayama
- Journal Title
  
  Proc. Amer. Math. Soc. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The structure of Sally modules of rank one
- Author(s)
  S.Goto, K.Nishida, and K.Ozeki
- Journal Title
  
  Mathematical Research Letters (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Quasi-socle ideals in Gorenstein numerical semigroup rings
- Author(s)
  S.Goto, S.Kimura, and N.Matsuoka
- Journal Title
  
  J. Alg (to appear)
- NAID
  40015430661
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Buchsbaum homogeneous algebras with minimal multiplicity
- Author(s)
  S.Goto and K.Yoshida
- Journal Title
  
  J. Pure and Appl. Alg (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The leading ideal of a complete intersection of height two,Part II
- Author(s)
  S.Goto, W.Heinzer, M.K.Kim
- Journal Title
  
  J.Alg. (to appear)
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] When are the rings $I:I$ Gorenstein?
- Author(s)
  Naoki Endo, Shiro Goto, Shin-ichiro Iai, Naoyuki Matsuoka
- Journal Title
  
  Communications in Algebra
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03211
[Journal Article] Quasi-socle ideals in Buchsbaum rings
- Author(s)
  S. Goto, J. Horiuchi, H. Sakurai
- Journal Title
  
  Nagoya Math. J. (to appear)
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The leading ideal of a complete intersection of height two,Part II
- Author(s)
  S.Goto, W.Heinzer, and M.-K.Kim
- Journal Title
  
  J.Algebra (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] On vanishing of certain Ext modules
- Author(s)
  S.Goto, F.Hayasaka, and R.Takahashi
- Journal Title
  
  J. Math. Soc. Japan (to appear)
- NAID
  10024905254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Sally modules of rank one
- Author(s)
  Goto, K.Nishida, and K.Ozeki
- Journal Title
  
  Michigan Math. J (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The leading ideal of acomplete intersection of height two in a 2-dimensional regular local ring
- Author(s)
  S.Goto, W.Heinzer, and M.-K.Kim
- Journal Title
  
  Communicationsin Algebra (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring
- Author(s)
  S.Goto, F.Hayasaka, K.Kurano, Y.Nakamura
- Journal Title
  
  Contem.Math. (to appear)
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters
- Author(s)
  S. Goto, K. Ozeki
- Journal Title
  
  Nagoya Math. J (to appear)
- Data Source
  KAKENHI-PROJECT-19540054
[Journal Article] The leading ideal of a complete intersection of height two
- Author(s)
  S.Goto
- Journal Title
  
  J.Algebra (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Gorenstein graded rings associated to ideals
- Author(s)
  S.Goto, S.lai
- Journal Title
  
  J.Algebra (to appear)
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The leading ideal of a complete intersection of height two in a 2-dimensional regular local ring
- Author(s)
  S.Goto, W.Heinzer, and M.-K.Kim
- Journal Title
  
  Communications in Algebra (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540045
[Journal Article] The leading ideal of a complete intersection of height two
- Author(s)
  S.Goto
- Journal Title
  
  J. Algebra t appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] Rees algebras of the second syzygy module of the residue field of a regular local ring
- Author(s)
  S.Goto
- Journal Title
  
  Contemporary Math. (to appear)
- Data Source
  KAKENHI-PROJECT-15540038
[Presentation] Reflexive modules over the endomorphism algebras of reflexive trace ideals2022
- Author(s)
  遠藤直樹, 後藤四郎
- Organizer
  日本数学会秋季年会
- Data Source
  KAKENHI-PROJECT-21K03211
[Presentation] Reflexive modules over the endomorphism algebras of reflexive trace ideals2022
- Author(s)
  遠藤直樹, 後藤四郎
- Organizer
  第43回可換環論シンポジウム
- Data Source
  KAKENHI-PROJECT-21K03211
[Presentation] Effricient generation of ideals in core subalgebras of the polynomial ring k[t]2019
- Author(s)
  後藤四郎
- Organizer
  第32回可換環論セミナー
- Data Source
  KAKENHI-PROJECT-18K03227
[Presentation] Efficient generation of ideals in core subalgebras of the polynomial ring $k[t]$ over a field $k$2019
- Author(s)
  後藤四郎
- Organizer
  第32回可換環論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] Characterization of generalized Gorenstein rings2018
- Author(s)
  後藤四郎，谷口直樹，神代真也，磯部遼太郎〇
- Organizer
  日本数学会年会，東京大学, 2018年3月20日
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] One-dimensional 2-AGL rings - towards a stratification of Cohen-Macaulay rings2018
- Author(s)
  後藤四郎
- Organizer
  第40回可換環論シンポジウム
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] トレース加群からみたGorenstein性の解析2018
- Author(s)
  後藤四郎，磯部遼太郎，神代真也
- Organizer
  日本数学会2018年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] Residually faithful modules and the Cohen-Macaulay type of idealizations II2018
- Author(s)
  Shiro Goto
- Organizer
  Mini-workshop on Commutative Algebra by and for young mathematicians, March 26~28, 2018, Sapporo Ekimae Satellite, Hokkaido University of Education.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] イデアル化R × I のalmost Gorenstein 性2018
- Author(s)
  後藤四郎，神代真也〇
- Organizer
  日本数学会年会，東京大学 , 2018年3月20日
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one2018
- Author(s)
  後藤四郎，磯部遼太郎，神代真也
- Organizer
  日本数学会2018年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] Ulrich ideals and G-regular rings2017
- Author(s)
  Shiro Goto
- Organizer
  RIMS 共同研究（公開型），『第39回可換環論シンポジウム』，2017年 11 月 13 日 17 日.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] Almost Gorenstein rings - towards a stratification of Cohen-Macaulay rings2017
- Author(s)
  Shiro Goto
- Organizer
  The Prospects for Commutative Algebra, Osaka, July 10~14, 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] Almost Gorenstein rings2017
- Author(s)
  Shiro Goto
- Organizer
  Special session on “Commutative Algebra”, the AMS Sectional Meeting, Hunter College, City University of New York, May 6~7, 2017.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] The almost Gorenstein Rees algebras of contracted ideals2016
- Author(s)
  後藤四郎・松岡直之・谷口直樹・吉田健一
- Organizer
  2016年度日本数学会年会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-26400054
[Presentation] On the almost Gorenstein property of Rees algebras of powers of ideals2016
- Author(s)
  Shiro Goto
- Organizer
  Japan-Vietnam Workshop on Commutative Algebra, 2016
- Place of Presentation
  Meiji University
- Year and Date
  2016-09-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] On the almost Gorenstein property of Rees algebras of powers of parameter ideals2016
- Author(s)
  Shiro Goto
- Organizer
  第38回可換環論シンポジウム
- Place of Presentation
  生産性国際交流センター
- Year and Date
  2016-11-18
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05112
[Presentation] When are the Rees algebras of parameter ideals almost Gorenstein graded rings?2016
- Author(s)
  S. Goto
- Organizer
  Workshop on Commutative Algebra – Part II, Local algebra and Representation theory
- Place of Presentation
  VIASM’s villa, Ha Long, Vietnam
- Year and Date
  2016-01-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400051
[Presentation] The almost Gorenstein Rees algebras of socle ideals2015
- Author(s)
  後藤四郎・松岡直之・谷口直樹・吉田健一
- Organizer
  2015年度日本数学会秋季年会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-26400054
[Presentation] 2次元正規特異点のpg-idealのRees代数のAlmost Gorenstein性2015
- Author(s)
  後藤四郎・松岡直之・谷口直樹・吉田健一
- Organizer
  2015年度日本数学会秋季年会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-26400054
[Presentation] On the Hilbert polynomials of j-transforms2013
- Author(s)
  後藤四郎
- Organizer
  International conference on commutative algebra and its interaction to algebraic geometry and combinatorics
- Place of Presentation
  IMVAST (Hanoi, Vietnam)
- Invited
- Data Source
  KAKENHI-PROJECT-25400051
[Presentation] Ulrich ideals and modules2013
- Author(s)
  後藤四郎
- Organizer
  第58回代数学分科会シンポジウム
- Place of Presentation
  広島大学
- Invited
- Data Source
  KAKENHI-PROJECT-25400051
[Presentation] Huneke-Wiegand conjecture2013
- Author(s)
  後藤四郎
- Organizer
  Commutative algebra and its interactions with algebraic geometry
- Place of Presentation
  CIRM (Luminy，フランス)
- Invited
- Data Source
  KAKENHI-PROJECT-25400051
[Presentation] Ulrich ideals and modules, I2012
- Author(s)
  後藤四郎
- Organizer
  The 12-th ALGA Meeting dedicated to Steven Kleiman and Aron Simis on the occasion of their 70-th birthdays
- Place of Presentation
  IMPA, Rio de Janeiro, Brazil
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Ulrich ideals and modules2012
- Author(s)
  後藤四郎
- Organizer
  The 12-th ALGA Meeting dedicated to Steven Kleiman and Aron Simis on the occasion of their 70-th birthdays
- Place of Presentation
  IMPA, Rio de Janeiro, Brazil
- Invited
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Ulrich ideals and modules2012
- Author(s)
  後藤四郎
- Organizer
  Commutative Algebra Program of MSRI, Fall 2012 ～ March 2013, the Seminar organized by C. Huneke, C. Polini, and B. Ulrich
- Place of Presentation
  MSRI, Berkeley, USA.
- Year and Date
  2012-09-17
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] 巴系のホモロジー2012
- Author(s)
  後藤四郎
- Organizer
  日本数学会年会・代数学分科会特別講演
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Ulrich加群の一般化2011
- Author(s)
  後藤四郎,高橋亮,大関一秀
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  浜名湖カリアック
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Almost Gorenstein rings -- an attempt towards higher dimensional cases --2011
- Author(s)
  後藤四郎
- Organizer
  The 7-th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Quy Nhon (Vietnam)
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] TranThiPhuong,AlmostGorensteinrings2011
- Author(s)
  後藤四郎,松岡直之
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  浜名湖カリアック
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Almost Gorenstein rings2011
- Author(s)
  後藤四郎
- Organizer
  Juergen Herzogを囲む可換代数の集い
- Place of Presentation
  大阪大学
- Year and Date
  2011-06-15
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Almost Gorenstein rings2011
- Author(s)
  後藤四郎, 松岡直之, Tran Thi Phuong
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  浜名湖カリアック
- Year and Date
  2011-11-09
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Almost Gorenstein rings2011
- Author(s)
  後藤四郎
- Organizer
  Juergen Herzog を囲む可換代数の集い
- Place of Presentation
  大阪大学
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Almost Gorenstein rings-an attempt towards higher dimensional cases--2011
- Author(s)
  後藤四郎
- Organizer
  The 7-th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Quy Nhon University (Vietnam)
- Year and Date
  2011-12-14
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Almost Gorenstein rings2011
- Author(s)
  後藤四郎
- Organizer
  Midwest Commutative Algebra and Geometry Conference at PURDUE
- Place of Presentation
  Purdue University (USA)
- Year and Date
  2011-05-23
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Almost Gorenstein rings2011
- Author(s)
  後藤四郎
- Organizer
  Midwest Commutative Algebra and Geometry Conference at PURDUE
- Place of Presentation
  Purdue University (West Lafayette, USA)
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Study of Hilbert functions and coefficients of parameters IV2010
- Author(s)
  後藤四郎
- Organizer
  The 5-th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics Hanoi, (Vietnam)
- Year and Date
  2010-01-08
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Study of Hilbert functions and coefficients of parameters II2010
- Author(s)
  後藤四郎
- Organizer
  The 5-th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics Hanoi, (Vietnam)
- Year and Date
  2010-01-06
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Study of Hilbert functions and coefficients of parameters I, I I, I I I, IV2010
- Author(s)
  後藤四郎
- Organizer
  The 5-th Japan-Vietnam Joint Seminar on Commutative Algebra, Institute ofMathematics Hanoi
- Place of Presentation
  Hanoi (Vietnam)
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Study of Hilbert functions and coefficients of parameters I2010
- Author(s)
  後藤四郎
- Organizer
  The 5-th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics Hanoi, (Vietnam)
- Year and Date
  2010-01-05
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Study of Hilbert functions and coefficients of parameters I, II, III, IV2010
- Author(s)
  後藤四郎
- Organizer
  he 5-th Japan-Vietnam Joint Seminar on Commutative Algebra, Institute of Mathematics Hanoi
- Place of Presentation
  Hanoi (Vietnam)
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Study of Hilbert functions and coefficients of parameters III2010
- Author(s)
  後藤四郎
- Organizer
  The 5-th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics Hanoi, (Vietnam)
- Year and Date
  2010-01-07
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Hilbert coefficients of parameters, 5 lectures, ICTP School and Workshop on Local Rings and Local Study of Algebraic Varieties2010
- Author(s)
  後藤四郎
- Organizer
  ICTP (The Abdus Salam International Center for Theoretical Physics)
- Place of Presentation
  Trieste, Italy
- Data Source
  KAKENHI-PROJECT-22540054
[Presentation] Quasi-socle ideals in Buchsbaum rings2009
- Author(s)
  後藤四郎・堀内淳・櫻井秀人
- Organizer
  第31回可換環論シンポジウム
- Place of Presentation
  大阪
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Sally modules of rank one-non Cohen-Macaulay cases2009
- Author(s)
  後藤四郎、大関一秀
- Organizer
  日本数学会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-29
- Data Source
  KAKENHI-PROJECT-18540053
[Presentation] Cohen-Macaulayness versus the vanishing of e_Q^1(A), the first Hilbert coefficient of parameters2009
- Author(s)
  後藤四郎
- Organizer
  International Conference on Commutative Algebra, honoring Wolmer V. Vasconcelos
- Place of Presentation
  Recife (Olinda, Brazil)
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Cohen-Macaulayness versus vanishing of the first Hilbert coefficient of parameter ideals2009
- Author(s)
  後藤四郎・大関一秀
- Organizer
  第31回可換環論シンポジウム
- Place of Presentation
  大阪
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Cohen-Macaulayness versus the vanishing of e_Q^1(A)2009
- Author(s)
  後藤四郎
- Organizer
  International Conference on Commutative Algebra, honoring Wolmer V.Vasconcelos
- Place of Presentation
  Recife(Olinda, Brazil)(Australia)
- Year and Date
  2009-08-10
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] あるネーター局所環の擬ソークイデアルについて2009
- Author(s)
  後藤四郎、櫻井秀人
- Organizer
  日本数学会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-29
- Data Source
  KAKENHI-PROJECT-18540053
[Presentation] Cohen-Macaulayness versus the vanishing of e_Q^1(A)2009
- Author(s)
  後藤四郎
- Organizer
  the first Hilbert coefficient of parameters, PRIMA Congress
- Place of Presentation
  UNSW, Sydney (Australia)
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Cohen-Macaulayness versus the vanishing of e_Q^1(A)2009
- Author(s)
  後藤四郎
- Organizer
  PRIMA Congress
- Place of Presentation
  UNSW, Sydney (Australia)
- Year and Date
  2009-07-06
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Quasi-socle ideals and Goto numbers of parameters2009
- Author(s)
  後藤四郎・木村了・Tran Thi Phuong
- Organizer
  第31回可換環論シンポジウム
- Place of Presentation
  大阪
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] the structure of sally modules of rank one2008
- Author(s)
  後藤四郎、西田康二、大関一秀
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-18540053
[Presentation] Quasi-socle ideals in local rings with Gorenstein tangent cones2008
- Author(s)
  後藤四郎, 木村了, 松岡直之
- Organizer
  日本数学会春季年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Cohen-Macaulayness in the associated graded rings of certain m-primary ideals in a Noetherian local ring,5 lectures2008
- Author(s)
  後藤四郎
- Organizer
  CIPMA school on Commutative Algebra
- Place of Presentation
  IIT-Bombay(India)
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Quasi-socle ideals in local rings with Gorenstein tangellt cones2008
- Author(s)
  後藤四郎, 木村了, 松岡直之
- Organizer
  日本数学会春季年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] The structure of Sally modules of rank2008
- Author(s)
  後藤四郎
- Organizer
  第53回代数学シンポジウム(いわて県民情報交流センター
- Place of Presentation
  盛岡市アイーナ
- Year and Date
  2008-08-05
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] The structure of Sally modules of rank2008
- Author(s)
  後藤四郎, 大関一秀
- Organizer
  日本数学会春季年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Quasi-socle ideals in Gorenstein numerical semi group rings2008
- Author(s)
  後藤四郎、木村了、松岡直之
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-18540053
[Presentation] Quasi-socle ideals in local rings with Gorenstein tangent cones2008
- Author(s)
  後藤四郎、木村了、松岡直之
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-18540053
[Presentation] The structure of Sally modules of rank2008
- Author(s)
  後藤四郎
- Organizer
  第53回代数学シンポジウム
- Place of Presentation
  いわて県民情報交流センター (盛岡市アイーナ)
- Year and Date
  2008-08-05
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Quasi-socle ideals in numerical semi group rings2008
- Author(s)
  後藤四郎, 木村了, 松岡直之
- Organizer
  日本数学会春季年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Quasi-socle ideals in local rings with Gorenstein tangent cones2007
- Author(s)
  後藤四郎・木村了・松岡直之・Tran Thi Phuong
- Organizer
  第29回可換環論シンポジウム
- Place of Presentation
  名古屋
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Sally modules of rank one2007
- Author(s)
  後藤四郎
- Organizer
  Hilbert functions and syzygies in commutative algebra and conbinatorics: a conference in honor of Juergen Herzog on the occasion of his 65th birthday
- Place of Presentation
  Cortona(Italy)
- Year and Date
  2007-09-18
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Sally modules of rank one2007
- Author(s)
  後藤四郎
- Organizer
  Hilbert functions and syzygies in commutative algebra and conbinatorics: a conference in honor of Juergen Herzog on the occasion of his 65th birthday
- Place of Presentation
  Cortona (Italy)
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Quasi-socle ideals in Gorenstein local rings2007
- Author(s)
  後藤四郎、松岡直之、高橋亮
- Organizer
  日本数学会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-18540053
[Presentation] Integral closures of monomial ideals2007
- Author(s)
  後藤四郎
- Organizer
  The 3-rd Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics Hanoi (Vietnam)
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Quasi-socle ideals in a Gorenstein local ring2007
- Author(s)
  後藤四郎
- Organizer
  the Conference Homological and Combinatorial Aspects in Commutative Algebra
- Place of Presentation
  Busteni(Romania)
- Year and Date
  2007-07-07
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Quasi-socle ideals in a Gorenstein local ring2007
- Author(s)
  後藤四郎, 松岡直之, 高橋亮
- Organizer
  日本数学会秋季年会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Integral closures of monomial ideals2007
- Author(s)
  後藤四郎
- Organizer
  The 3-rd Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Hanoi(Vietnam)
- Year and Date
  2007-12-03
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Sally modules of rank one2007
- Author(s)
  後藤四郎
- Organizer
  Castelnuovo-Mumfbrd regularity and applications, jointly organized by the Graduate School"Analysis, Geometry, and its Relations to the Sciences"of the Mathematical Institute of Leipzig University and the Max Planck Institute for Mathematics in the Science
- Place of Presentation
  Leipzig(Germany)
- Year and Date
  2007-07-16
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] Quasi-socle ideals in a Gorenstein local ring2007
- Author(s)
  後藤四郎
- Organizer
  the Conference Homological and Combinatorial Aspects in Commutative Algebra
- Place of Presentation
  Busteni, Romania
- Data Source
  KAKENHI-PROJECT-19540054
[Presentation] The sectional genera and the second Hilbert coefficients of parameter ideals
- Author(s)
  後藤四郎，大関一秀
- Organizer
  第36回可換環論シンポジウム
- Place of Presentation
  IPC 生産性国際交流センター
- Year and Date
  2014-11-21 – 2014-11-25
- Data Source
  KAKENHI-PROJECT-25400051
[Presentation] Almost Gorenstein rings – towards a theory of higher dimension
- Author(s)
  後藤四郎
- Organizer
  24-th Iranian Algebra Seminar (dedicated to Professor Zakeri)
- Place of Presentation
  Kharazmi University, Faculty of Mathematical Sciences and Computer, Karaj, Iran
- Year and Date
  2014-11-12 – 2014-11-13
- Invited
- Data Source
  KAKENHI-PROJECT-25400051
[Presentation] Huneke-Wiegand conjecture and change of rings
- Author(s)
  後藤四郎
- Organizer
  11th Seminar on Commutative Algebra and Related Topics
- Place of Presentation
  Institute for Research in Fundamental Sciences (Iran)
- Year and Date
  2014-11-10 – 2014-11-11
- Invited
- Data Source
  KAKENHI-PROJECT-25400051
[Presentation] Ulrich ideals and modules
- Author(s)
  後藤四郎
- Organizer
  11th Seminar on Commutative Algebra and Related Topics
- Place of Presentation
  Institute for Research in Fundamental Sciences (Iran)
- Year and Date
  2014-11-10 – 2014-11-11
- Invited
- Data Source
  KAKENHI-PROJECT-25400051
[Presentation] Almost Gorenstein rings -towards a theory of higher dimension
- Author(s)
  後藤四郎
- Organizer
  Commutative Algebra and Singularity Theory (dedicated to Kei-ichi Watanabe on occasion of his 70-th birthday)
- Place of Presentation
  立山国際ホテル
- Year and Date
  2014-07-28 – 2014-08-01
- Invited
- Data Source
  KAKENHI-PROJECT-25400051

1. TSUSHIMA Ryuji (20118764)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
2. INATOMI Akira (20061872)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
3. IAI Shinichiro (50333125)

# of Collaborated Projects: 6 results

# of Collaborated Products: 5 results
4. SATO Atsushi (70178705)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. NAKAMURA Yukio (00308066)

# of Collaborated Projects: 6 results

# of Collaborated Products: 2 results
6. 服部晶夫 (80011469)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. Matsuoka Naoyuki (80440155)

# of Collaborated Projects: 4 results

# of Collaborated Products: 19 results
8. 桂田祐史 (80224484)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. TRAN Thi Phuong (00649824)

# of Collaborated Projects: 3 results

# of Collaborated Products: 1 results
10. NIIRO Funio (50012191)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. SAKAI Shoichiro (30130503)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. SUZUKI Masahiko (00171249)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. SUZUKI Osamu (10096844)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. MISONOU Yoshinao (20005705)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. KURANO Kazuhiko (90205188)

# of Collaborated Projects: 3 results

# of Collaborated Products: 4 results
16. 森本浩子 (50061974)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
17. 阿原一志 (80247147)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
18. KAMOI Yuji (80308064)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. WATANABE Keiichi (10087083)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. SAKURAI Hideto (00409450)

# of Collaborated Projects: 2 results

# of Collaborated Products: 4 results
21. AKIBA Tomoharu (60027670)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. YOSHINO Yuji (00135302)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. 今野礼二 (20061921)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
24. 藤田宏 (80011427)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
25. GOTO Hideki (70409449)

# of Collaborated Projects: 1 results

# of Collaborated Products: 27 results
26. OZEKI Kazuho (70445849)

# of Collaborated Projects: 1 results

# of Collaborated Products: 12 results
27. NISHIDA Kenji (70125392)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. YAMAGATA Kunio (60015849)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. YAMAGISHI Kikumichi (10200601)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. SHIMODA Yasuhiro (10226277)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. HAYASAKA Futoshi (20409460)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 大橋健八郎 (50061726)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. 谷口彰男 (50059987)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 池上宜弘 (00023614)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 津島行男 (80047240)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. 永田雅宜 (00025230)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. 川崎健 (40301410)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. 石原繁 (80016013)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. 谷口直樹 (30782510)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
40. TAKAHASHI Ryo

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results

GOTO Shiro 後藤 四郎

後藤 四郎 ゴトウ シロウ

Research Projects

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Co-Researchers

Weak Arf closures of rings versus their strict closuresPrincipal Investigator

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Study of almost Gorenstein ringsPrincipal Investigator

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Structure of almost Gorenstein rings and Ulrich modulesPrincipal Investigator

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Commutative algebra - towards a better understanding of non-Cohen-Macaulay ringsPrincipal Investigator

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Study of blow-up ringsPrincipal Investigator

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Study of graded rings associated to ideals and modulesPrincipal Investigator

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Study of Blowing-up ringsPrincipal Investigator

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Study of blow-up ringsPrincipal Investigator

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GOTO Shiro 後藤四郎

後藤四郎ゴトウシロウ